Solve each equation by factoring. Then graph. x^2-11 x=0 |...

Name: Problem 7, Chapter 5: Algebra 2
Uploaded: 2020-04-06T14:23:51-08:00
Duration: 2 min 32 s
Channel: Ankit Gupta
Description: Solve each equation by factoring. Then graph. x^2-11 x=0

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Key Concepts

Quadratic Functions

Quadratic functions are polynomial functions of degree two, generally written in the form ax² + bx + c. Their graphs are parabolas, which can open upwards or downwards depending on the coefficient of the x² term.

Graphing Quadratic Equations

Graphing a quadratic equation involves plotting its parabola by identifying key features such as the vertex, axis of symmetry, and the x-intercepts (roots). These intercepts are found by setting the quadratic expression to zero and solving for x, providing critical points where the graph crosses the x-axis.

Factoring

Factoring is a technique used to rewrite a polynomial as a product of simpler expressions. In the context of a quadratic equation, factoring involves expressing the equation as a product of two binomials or monomials, which simplifies the process of finding the roots of the equation.

Zero Product Property

The zero product property states that if the product of two factors equals zero, then at least one of the factors must be zero. This principle allows us to solve factored equations by setting each factor equal to zero and then solving for the variable.

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